Find u in terms of x from a given DE

Could someone help with the following question:

Attachment 18035

It's in a very different style to what I'm used to. i can see that I need to use the product rule on the right hand side but I'm not sure how to..

Thanks

This is actually a differential equation, and you're going to need to integrate to find the final answer. The equation given is not, in general, true. But the problem is obviously assuming it is true. So, what I would do first is expand the LHS by using the product rule, and then solve for du/dx. See what happens.

Quote:

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Originally Posted by Ackbeet

This is actually a differential equation, and you're going to need to integrate to find the final answer. The equation given is not, in general, true. But the problem is obviously assuming it is true. So, what I would do first is expand the LHS by using the product rule, and then solve for du/dx. See what happens.

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Thanks, I just figured it out =)

Excellent!